<p>We study the limiting behavior of <i>r</i>-maximum distance minimizers and the asymptotics of their 1-dimensional Hausdorff measures as <i>r</i> tends to zero in several contexts, including situations involving objects of fractal nature.</p>

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Asymptotics of maximum distance minimizers

  • Enrique G. Alvarado,
  • Louisa Catalano,
  • Tomás Merchán,
  • Lisa Naples

摘要

We study the limiting behavior of r-maximum distance minimizers and the asymptotics of their 1-dimensional Hausdorff measures as r tends to zero in several contexts, including situations involving objects of fractal nature.